Our research active academics are involved in cutting-edge research covering a range of topics including applied analysis, computational mathematics, continuum mechanics and mathematical physics, financial mathematics, operational research and applied statistics. We address problems of real biological or engineering importance and investigate the underlying mathematical and phenomenological processes. There is strong emphasis on the development of innovative analytic, asymptotic, computational and hybrid methods. Our research also focuses on random matrix theory, quantum information theory, mathematical foundations of quantum mechanics, mesoscopic disordered systems, statistical mechanics, graph theory, matroid theory, and infinite dimensional Riemannian geometry, algebraic geometry and orthogonal polynomials. Research opportunities for students Research students are welcomed to Brunel as valued members of our thriving, research-intensive community. Browse PhD opportunities below and find out about the funding available for students. Doctoral research information How to apply for a PhD View list of PhDs in this area Research in Mathematics Find people, projects, groups and publications in Mathematics and read more about related research to this area. Browse our recent research projects Meet our experts Mathematics Research Publications Archive Browse our collection of research outputs including PhD theses 65% of our Mathematics research is world leading or internationally excellent International research workshops and conferences Random Matrix Theory Workshops International workshop series bringing together scientists from different disciplines who work in the field of Random Matrix Theory (RMT) and its applications. Mathematics of Finite Elements and Applications Conference International conference with over 50 years of tradition in leading mathematical thought in the analysis or application of finite element and related methods. Research groups in Mathematics Applied and Numerical Analysis Focused on the analysis of mathematical models of biological, chemical or physical processes. Financial Mathematics and Operational Research Developing advanced mathematical, probabilistic and optimisation approaches to problems in financial mathematics and operational research. Mathematical Physics and Applied Mathematics Innovating analytical methods for problems arising from engineering and physical sciences. Statistics and Data Science Strategic growth area of statistical methods and models for data science. Research seminars